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Simplifying 5 + 2(n + 1) = 3n Reorder the terms: 5 + 2(1 + n) = 3n 5 + (1 * 2 + n * 2) = 3n 5 + (2 + 2n) = 3n Combine like terms: 5 + 2 = 7 7 + 2n = 3n Solving 7 + 2n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 7 + 2n + -3n = 3n + -3n Combine like terms: 2n + -3n = -1n 7 + -1n = 3n + -3n Combine like terms: 3n + -3n = 0 7 + -1n = 0 Add '-7' to each side of the equation. 7 + -7 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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